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Finding the Fourth Proportional to 681.12, 1,021.05 and 269.94

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Solution

The fourth proportional to 681.12, 1,021.05 and 269.94 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 1,021.05 = 269.94 : x
  2. Step 2: Convert to fraction form
    681.12/1,021.05 = 269.94/x
  3. Step 3: Cross multiply
    681.12x = 1,021.05 × 269.94
  4. Step 4: Simplify right side
    681.12x = 275,622.24
  5. Step 5: Solve for x
    x = 275,622.24/681.12
  6. Step 6: Final answer
    x = 404.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.